基于Buckley-Leverett理论的典型缝洞油藏一维驱替开发指标计算方法
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摘要
为减少缝洞型油藏等效渗透率计算量并且建立一套简便的开发指标计算方法,对缝洞型油藏的渗透率张量公式进行了简化,忽略了基质的影响,得到了沿流动方向的等效渗透率公式,并通过数值模拟方法对所得公式进行了验证。结果表明理论公式与数值模拟结果吻合得较好。利用等效渗透率公式和广义达西定律,基于一维驱替的Buckley-Leverett水驱油理论对典型缝洞油藏进行关键开发指标的计算,计算过程中考虑了重力的影响,并且推导了定流量开发方式下的关键开发指标计算公式。利用COMSOL和ECLIPSE分别对实际模型和等效模型的水驱开采过程进行数值模拟,并对理论开发指标公式进行验证,结果表明,理论计算结果与数值模拟结果吻合。
In order to reduce the complexity of computing the equivalent permeability of fracture-vuggy reservoirs and establish a set of simple method for calculating the development indexes of fractured-vuggy reservoirs,the permeability tensor formula of the fracturedvuggy reservoir model was simplified,ignoring the influence of matrix permeability,the calculation formula of the equivalent permeability in flow direction was derived,and it was verified by numerical simulation. The result shows that the calculation result of the simplified formula is in good agreement with the numerical simulation result. The development indexes of typical fracture-vuggy reservoir models are calculated based on the equivalent permeability formula,the general Darcy's Law and one dimensional Buckley-Leverett water flooding theory. The influence of gravity is taken into account in the calculation process,and the calculation formulas of key development indexes of fractured-vuggy reservoirs under constant liquid output were derived. The water flooding process of actual model and equivalent model was simulated by using COMSOL and ECLIPSE respectively,and the calculation formulas of the key development indexes were verified. The results show that the calculation results of the formulas are in good agreement with the numerical simulation results.
In order to reduce the complexity of computing the equivalent permeability of fracture-vuggy reservoirs and establish a set of simple method for calculating the development indexes of fractured-vuggy reservoirs,the permeability tensor formula of the fracturedvuggy reservoir model was simplified,ignoring the influence of matrix permeability,the calculation formula of the equivalent permeability in flow direction was derived,and it was verified by numerical simulation. The result shows that the calculation result of the simplified formula is in good agreement with the numerical simulation result. The development indexes of typical fracture-vuggy reservoir models are calculated based on the equivalent permeability formula,the general Darcy's Law and one dimensional Buckley-Leverett water flooding theory. The influence of gravity is taken into account in the calculation process,and the calculation formulas of key development indexes of fractured-vuggy reservoirs under constant liquid output were derived. The water flooding process of actual model and equivalent model was simulated by using COMSOL and ECLIPSE respectively,and the calculation formulas of the key development indexes were verified. The results show that the calculation results of the formulas are in good agreement with the numerical simulation results.
引文
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[3]黄朝琴,姚军,李亚军,等.基于均匀化理论的缝洞型介质渗透性分析[J].中国科学(技术科学),2010,40(9):1095-1103.HUANG Zhaoqin,YAO Jun,LI Yajun,et al.Permeability analysis of fractured vuggy porous media based on homogenization theory[J].Science China(Technological Sciences),2010,40(9):1095-1103.
[4]ARBOGAST T,BRUNSON D S.A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium[J].Computational Geosciences,2007,11(3):207-218.
[5]杨坚.缝洞型碳酸盐岩油藏缝洞单元数值模拟理论与方法研究[D].东营:中国石油大学,2007.YANG Jian.Study of numerical simulation theory and method of fractured-vug unit in fractured vuggy carbonate reservoirs[D].Dongyiing:China Univer-sity of Petroleum,2007.
[6]姚军,王子胜.缝洞型碳酸盐岩油藏试井解释理论与方法[M].东营:中国石油大学出版社,2007.YAO Jun,WANG Zisheng.Theory and Method for Well Test Interpretation in Fractured-vuggy Carbonate Reservoirs[M].Dongying:China University of Petr-oleum Press,2007.
[7]康志江,李江龙,张冬丽,等.塔河缝洞型碳酸盐岩油藏渗流特征[J].石油与天然气地质,2005,26(5):634-640.KANG Zhijiang,LI Jianglong,ZHANG Dongli,et al.Percolation characteristics of fractured-vuggy carbonate reservoir in Tahe oilfield[J].Oil and Gas Geology,2005,26(5):634-640.
[8]ARBOGAST T,BRUNSON D S,BRYANT S L,et al.A preliminary computational investigation of a macro model for vuggy porous media[J].Develop-ments in Water Science,2015,55(1):267-278.
[9]刘新纯.倾斜椭圆柱管中流体的Poiseuille公式[J].数理医药学杂志,2007,20(5):735-736.LIU Xinchun.The fluid Poiseuille’s formula in Ell-ipse cylindrical of inclination[J].Journal of Mathe-matical Medicine,2007,20(5):735-736.
[10]李阳.碳酸盐岩缝洞型油藏开发理论与方法[M].北京:中国石化出版社,2014.LI Yang.Development Theory and Method of Carbo-nate Fractured vuggy Reservoir[M].Beijing:Sinopec press,2014.
[11]吕爱民.碳酸盐岩缝洞型油藏油藏工程方法研究[D].东营:中国石油大学,2007.LYU Aimin.Study of reservoir engineering meth-ods for fractured vuggy carbonate reservoirs[D].Dongying:China University of Petroleum,2007.
[12]张建国,雷光伦,杜殿发,等.油气层渗流力学[M].东营:中国石油大学出版社,2009.ZHANG Jianguo,LEI Guanglun,DU Dianfa,et al.Oil and Gas Seepage Mechanics[M].Dongying:China University of Petroleum Press,2009.